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In an office 1//3 of total employees are...

In an office `1//3` of total employees are female and `1//2` of female have children . If `3//4` of total males are married and `2//3` of married males have children, then how many workers have no children.

A

`(5)/(18)`

B

`(4)/(9)`

C

`(11)/(18)`

D

`(17)/(36)`

Text Solution

Verified by Experts

The correct Answer is:
C
Suppose total number of workers in the office =x
Number of woman workers =`(x)/(3)`
`:.` Number of man workers
`=x-(x)/(3)=(3x-x)/(3)=(2x)/(3)`
Number of married woman workers `=(x)/(3)xx(1)/(2)=(x)/(6)`
Number of married woman workers who have children
`=(x)/(6)xx(1)/(3)=(x)/(18)`
Number of married man workes who have children
`=(x)/(2)xx(2)/(3)=(x)/(3)`
Number of workers who have children `=(x)/(3)+(x)/(18)`
`=(6x+x)/(18)=(7x)/(18)`
Number of workers without children
`=x-(7x)/(18)=(18x-7x)/(18)=(11)/(18)x`
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